Eidi, Marzieh; Mukherjee, Sayan Irreducibility of Markov Chains on simplicial complexes, the Spectrum of the Discrete Hodge Laplacian and Homology. arXiv:2310.07912 Preprint, arXiv:2310.07912 [math.SP] (2023). MSC: 60J10 37A30 60B10 57Z25 55N99 15B51 55U10 60J10 05E45 82C41 60J05 58J51 00-02 × Cite Format Result Cite Full Text: arXiv OA License
Rivera, Manuel; Wierstra, Felix; Zeinalian, Mahmoud The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time. (English) Zbl 1496.55009 Trans. Am. Math. Soc. 375, No. 5, 3267-3303 (2022). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 55P15 55U15 57T30 55P60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alonso Rodríguez, Ana; Bertolazzi, Enrico; Ghiloni, Riccardo; Specogna, Ruben Efficient construction of 2-chains representing a basis of \(H_{2}(\overline{\Omega}, \partial{\Omega}; \mathbb{Z})\). (English) Zbl 1530.65020 Adv. Comput. Math. 44, No. 5, 1411-1440 (2018). Reviewer: Jason Hanson (Redmond) MSC: 65D17 68U05 52B05 55N99 65D18 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iiyori, Nobuo; Sawabe, Masato Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups. II. (English) Zbl 1380.20025 Topology Appl. 231, 197-218 (2017). Reviewer: János Kurdics (Nyíregyháza) MSC: 20D30 20E15 20D15 55U10 20J05 × Cite Format Result Cite Review PDF Full Text: DOI
Thoppe, Gugan C.; Yogeshwaran, D.; Adler, Robert J. On the evolution of topology in dynamic clique complexes. (English) Zbl 1356.05136 Adv. Appl. Probab. 48, No. 4, 989-1014 (2016). MSC: 05C80 60C05 55U10 60B10 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Iiyori, Nobuo; Sawabe, Masato Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups. (English) Zbl 1358.20015 Osaka J. Math. 53, No. 3, 731-750 (2016). Reviewer: János Kurdics (Nyíregyháza) MSC: 20D30 20E15 20D15 55U10 20B35 20J05 × Cite Format Result Cite Review PDF Full Text: Euclid
Iiyori, Nobuo; Sawabe, Masato Simplical complexes associated to quivers arising from finite groups. (English) Zbl 1366.20013 Osaka J. Math. 52, No. 1, 161-204 (2015). MSC: 20D30 20E15 55U10 16G20 20C15 × Cite Format Result Cite Review PDF Full Text: Euclid
Lienhardt, Pascal; Skapin, Xavier; Bergey, Antoine Cartesian product of simplicial and cellular structures. (English) Zbl 1088.68174 Int. J. Comput. Geom. Appl. 14, No. 3, 115-159 (2004). MSC: 68U05 05C10 57M15 × Cite Format Result Cite Review PDF Full Text: DOI
Barker, Laurence On contractibility of the orbit space of a \(G\)-poset of Brauer pairs. (English) Zbl 0926.20011 J. Algebra 212, No. 2, 460-465 (1999). Reviewer: B.Külshammer (Jena) MSC: 20C20 20D30 20J05 55U10 × Cite Format Result Cite Review PDF Full Text: DOI
Segev, Yoav; Webb, Peter Extensions of \(G\)-posets and Quillen’s complex. (English) Zbl 0820.20027 J. Aust. Math. Soc., Ser. A 57, No. 1, 60-75 (1994). Reviewer: O.Talelli (Athens) MSC: 20D30 55U10 20J05 05E25 06A11 20C05 20C20 20D20 57M07 × Cite Format Result Cite Review PDF
Thévenaz, Jacques On a conjecture of Webb. (English) Zbl 0714.20012 Arch. Math. 58, No. 2, 105-109 (1992). Reviewer: J.Thévenaz MSC: 20D30 06A07 20D20 20J05 55U10 × Cite Format Result Cite Review PDF Full Text: DOI
Voevodskij, V. A.; Kapranov, M. M. Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. (English. Russian original) Zbl 0766.20005 Funct. Anal. Appl. 25, No. 1, 50-52 (1991); translation from Funkts. Anal. Prilozh. 25, No. 1, 62-65 (1991). MSC: 20C30 06A11 18D05 20B30 18G30 06F15 52B40 × Cite Format Result Cite Review PDF Full Text: DOI
Griggs, Jerrold R.; Kustin, Andrew R.; Ross, Jeffrey A.; Stahl, Jürgen The lexicographic sum of Cohen-Macaulay and shellable ordered sets. (English) Zbl 0572.06001 Graphs Comb. 1, 145-163 (1985). Reviewer: J.Neggers (Tuscaloosa) MSC: 06A06 57Q05 55U15 05A99 52Bxx 68T99 55U10 13H10 × Cite Format Result Cite Review PDF Full Text: DOI
Bjoerner, Anders; Walker, James W. A homotopy complementation formula for partially ordered sets. (English) Zbl 0508.06005 Eur. J. Comb. 4, 11-19 (1983). MSC: 06A06 06B05 18G30 55U35 × Cite Format Result Cite Review PDF Full Text: DOI
Brown, Kenneth S. Complete Euler characteristics and fixed-point theory. (English) Zbl 0493.20033 J. Pure Appl. Algebra 24, 103-121 (1982). MSC: 20J05 55U15 55U10 × Cite Format Result Cite Review PDF Full Text: DOI
Evrard, Marcel Homotopie des foncteurs en groupes. (French) Zbl 0415.18014 Math. Z. 166, 277-288 (1979). MSC: 18G40 18A25 14F35 55U10 20E15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML